Algebra Examples

$x^{2} + \frac{5}{6} x + c$

Step 1

Combine $\frac{5}{6}$ and $x$ .

$x^{2} + \frac{5 x}{6} + c$

Step 2

Move $\frac{5 x}{6}$ .

$x^{2} + c + \frac{5 x}{6}$

Step 3

To find the $c$ value $c = {(\frac{b}{2})}^{2}$ , divide the coefficient of $x$ by $2$ and square the result.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

${(\frac{5}{6} \cdot \frac{1}{2})}^{2}$

Step 3.2

Multiply $\frac{5}{6} \cdot \frac{1}{2}$ .

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Step 3.2.1

Multiply $\frac{5}{6}$ by $\frac{1}{2}$ .

${(\frac{5}{6 \cdot 2})}^{2}$

Step 3.2.2

Multiply $6$ by $2$ .

${(\frac{5}{12})}^{2}$

Step 3.3

Apply the product rule to $\frac{5}{12}$ .

$\frac{5^{2}}{12^{2}}$

Step 3.4

Raise $5$ to the power of $2$ .

$\frac{25}{12^{2}}$

Step 3.5

Raise $12$ to the power of $2$ .

$\frac{25}{144}$

Step 4

Combine $\frac{5}{6}$ and $x$ .

$x^{2} + \frac{5 x}{6} + c + \frac{25}{144}$